Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773674 | Differential Geometry and its Applications | 2017 | 9 Pages |
Abstract
In this note we provide natural optimal geometric conditions for a Riemannian manifold suitably covered by two open metric balls to be homeomorphic to a sphere. This can be viewed as a geometric analogue of Brown's theorem in topology stating that a closed manifold covered by two topological balls is a sphere.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jianming Wan,